How to Find GCF of 9053/550, 1937/6609?

GCF of 9053/550, 1937/6609

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9053/550, 1937/6609 i.e 1/3634950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9053/550, 1937/6609.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9053/550,1937/6609?

Given fractions are 9053/550,1937/6609

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9053/550,1937/6609, numerators are 9053,1937

Denominators are 550,6609

The GCF of 9053,1937 is 1 .

LCM of 550,6609 is 3634950.

The greatest common factor of 9053/550,1937/6609 = [GCF of 9053,1937]/[LCM of 550,6609]= 1/3634950

Therefore, the GCF of 9053/550,1937/6609 is 1/3634950.

Greatest Common Factor of 9053,1937

To find the highest common factor of 9053,1937, we have to find the factors of both numbers and list the highest common factor.

The factors of 9053 are 1, 11, 823, 9053

The factors of 1937 are 1, 13, 149, 1937

The HCF of 9053,1937 is 1.

Lets's calculate GCF of 9053,1937

Greatest Common Factor (GCF) of 9053,1937 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9053,1937 By Matching Biggest Common Factor Method

Now, list down the factors of 9053

1,11,823,9053

Now, list down the factors of 1937

1,13,149,1937

Greatest Common Factor

We found the factors 9053,1937 . The biggest common factor number is the GCF number.
So the greatest common factor 9053,1937 is 1.

Lets's calculate LCM of 550,6609

Lowest Common Multiple of 550,6609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3634950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3634950

Therefore, the GCF of Fractions 9053/550,1937/6609 is 1/3634950

Least Common Multiple of 550,6609 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 550,6609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,6609) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(550,6609) x common factors =1 x 1 = 1

LCM(550,6609) = ( 550 × 6609 ) / 1

LCM(550,6609) = 3634950 / 1

LCM(550,6609) = 3634950

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FAQs on GCF of Fractions of 9053/550, 1937/6609

1. What is the HCF of 9053,1937?

The HCF of 9053,1937 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9053/550, 1937/6609?

Answer: GCF of Numerators as per given numbers 9053/550, 1937/6609 is

GCF of Numerators i.e. for 9053,1937 is 1

LCM of denominators i.e. for 550,6609 is 3634950.

Thus, GCF of Fractions is 1/3634950.Finally, GCF of Fractions for 9053/550, 1937/6609 is 1/3634950.